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Finding the Fourth Proportional to 59,951.46, 82,766.16 and 36,084

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Solution

The fourth proportional to 59,951.46, 82,766.16 and 36,084 is: 49,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,951.46 : 82,766.16 = 36,084 : x
  2. Step 2: Convert to fraction form
    59,951.46/82,766.16 = 36,084/x
  3. Step 3: Cross multiply
    59,951.46x = 82,766.16 × 36,084
  4. Step 4: Simplify right side
    59,951.46x = 2,986,534,117.44
  5. Step 5: Solve for x
    x = 2,986,534,117.44/59,951.46
  6. Step 6: Final answer
    x = 49,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.